Atkin-Lehner |
2- 3+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850dg |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
-549583237912500000 = -1 · 25 · 33 · 58 · 11 · 236 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,45745,-35479753] |
[a1,a2,a3,a4,a6] |
Generators |
[415:7198:1] |
Generators of the group modulo torsion |
j |
25094567676933/1302715823200 |
j-invariant |
L |
12.337687538439 |
L(r)(E,1)/r! |
Ω |
0.13967737529479 |
Real period |
R |
1.4721648727013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010726 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113850g2 22770a2 |
Quadratic twists by: -3 5 |